Results 21 to 30 of about 5,620,148 (306)
On the Epistemology of the Precautionary Principle [PDF]
In this paper we present two distinctly epistemological puzzles that arise forone who aspires to defend the precautionary principle. The first puzzle involves anapplication of contextualism in epistemology; and the second puzzle concerns the task of ...
Carter, J.A. +3 more
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Motion by crystalline-like mean curvature: A survey
We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
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The quantum probability ranking principle for information retrieval [PDF]
While the Probability Ranking Principle for Information Retrieval provides the basis for formal models, it makes a very strong assumption regarding the dependence between documents.
Van Rijsbergen, C. +8 more
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Twin positive solutions for resonant singular (p,q)-equations
We consider a Dirichlet (p,q)-equation with a reaction having the combined effects of a singular term and of a resonant perturbation. Using an auxiliary problem to bypass the singularity and variational tools from critical point theory, with truncation ...
Florin I. Onete +2 more
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Using the quantum probability ranking principle to rank interdependent documents [PDF]
A known limitation of the Probability Ranking Principle (PRP) is that it does not cater for dependence between documents. Recently, the Quantum Probability Ranking Principle (QPRP) has been proposed, which implicitly captures dependencies between ...
Azzopardi, L. +5 more
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A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
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This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng +3 more
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On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations [PDF]
The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered. For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum ...
Giga, Yoshikazu, Ohnuma, Masaki
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On maximal inequalities via comparison principle [PDF]
Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of nonlinear first-order differential ...
Makasu, Cloud
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On a comparison principle and the uniqueness of spectral flow
AbstractThe spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and
Starostka, Maciej, Waterstraat, Nils
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